Nonlinear Integrodifferential Equations with Time Varying Delay

Year 2021, , 433 - 444, 30.09.2021

Kamalendra Kumar Manoj Karnatak Rakesh Kumar

https://doi.org/10.31197/atnaa.814109

Abstract

By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea.

By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea.

Keywords

Nonlinear integrodifferential equations, Time varying delay, Nonlocal condition, Mild and classical solution, Banach contraction theorem

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